Use Cramers Method to solve n + q = 52 and 0.05n + 0.25q = 6.20
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Use Cramers method to solve:
n + q = 52
0.05n + 0.25q = 6.20
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Set up standards equations
Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
Find a, b, c in ax + by = c
n + q = 52
a = 1, b = 1, c = 52
Find d, e, f in dx + ey = f
0.05n + 0.25q = 6.20
d = 0.05, e = 0.25, f = 6.20
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.25) - (1 * 0.05)
Δ = 0.25 - 0.05
Δ = 0.2
Step 2, calculate the numerator for n
Numerator(n) = c * e - b * f
Numerator(n) = (52 * 0.25) - (1 * 6.20)
Numerator(n) = 13 - 6.2
Numerator(n) = 6.8
Step 3, calculate the numerator for q
Numerator(q) = a * f - c * d
Numerator(q) = (1 * 6.20) - (52 * 0.05)
Numerator(q) = 6.2 - 2.6
Numerator(q) = 3.6
Evaluate and solve:
n =
Numerator(n)
Δ
n =
6.8
0.2
n = 34
You have 2 free calculationss remaining
q =
Numerator(q)
Δ
q =
3.6
0.2
q = 18
You have 2 free calculationss remaining
What is the Answer?
q = 18
How does the Simultaneous Equations Calculator work?
Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods: 1) Substitution Method (Direct Substitution) 2) Elimination Method 3) Cramers Method or Cramers Rule
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2 equations 2 unknowns This calculator has 2 inputs.
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